Answer:
920 square feet
Step-by-step explanation:
Top: 20 * 17 = 340
Side triangles: 8 * 15 / 2 = 60
2 side triangles: 60 * 2 = 120
Back rectangle: 8 * 20 = 160
Bottom rectangle: 15 * 20 = 300
All of them: 340 + 120 + 160 + 300 = 920
Answer:
3
Step-by-step explanation:
Drink mix ratio:
Lemonade : Orange : Cranberry
6 : 3 : C
Fraction of Cranberry juice = 
Sum of the ratio = 6 + 3 + C = 9 + C
Fraction of Cranberry;
=
3(9 + C) = 12C
27 + 3C = 12C
27 = 12C - 3C
9C = 27
C = 3
The missing number will be 3
Answer:
The explicit formula for the geometric sequence is
.
Step-by-step explanation:
By definition of geometric sequence, we should use the following expression:
,
(1)
Where:
- First term.
- Geometric rate.
- Position of the element within the series.
If we know that
and
, then the explicit formula for the geometric sequence is:

The explicit formula for the geometric sequence is
.
Answer:
106.81
Step-by-step explanation:
first convert diameter to radius
- radius = diameter / 2
- radius = 34/2 = 17
now find circumference
- circumference = 2πr
- circumference = 2π(17) = 106.81
r = radius
Answer:
a = -1, b = -2.5
Step-by-step explanation:
Rule for the dilation of a vector
by a scale factor of k is,
(x, y) → (kx, ky)
BY using this rule for a vector
by a scale factor of 2.5
→ 
Followed by the rotation by 90° Or
radians,
Rule for rotation of a vector by 90° is,
(x, y) → (-y, x)
By this rule vector
will become,
→ 
If we represent this vector by
,
Then a = -1 and b = -2.5 will be the answer.